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Finding the Fourth Proportional to 2,579.61, 3,869.40 and 936.15

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Solution

The fourth proportional to 2,579.61, 3,869.40 and 936.15 is: 1,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.61 : 3,869.40 = 936.15 : x
  2. Step 2: Convert to fraction form
    2,579.61/3,869.40 = 936.15/x
  3. Step 3: Cross multiply
    2,579.61x = 3,869.40 × 936.15
  4. Step 4: Simplify right side
    2,579.61x = 3,622,338.81
  5. Step 5: Solve for x
    x = 3,622,338.81/2,579.61
  6. Step 6: Final answer
    x = 1,404.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.